Question
Suppose that statistical analysis shows that the demand function for Brazilian coffee in South Africa is as follows: Q D = 7.5 - 3 P
Suppose that statistical analysis shows that the demand function for Brazilian coffee in South Africa is as follows:
QD= 7.5 - 3 P + 0.8 I + 2 PI- 0.6 PS+ 0.12 A
where QD= quantity demanded of your company's coffee in South Africa, in millions of pounds per year
P = price of your coffee, in rand per pound
I = disposable personal income, in trillions of rand per year
PI= price of imported Indonesian coffee, in rand per pound
PS= price of sugar, in rand per pound
A = advertising for Brazilian's coffee, in millions of rand per year
The values for the variables above are I = R2.5, PI= R1.80, PS= R0.50, and A = R10.The supply function for Brazilian coffee is as follows:
QS= 14 + 2 P - 8 W - 1.5 PEU- 2 PE
where QS= quantity supplied of your company's coffee in South Africa, in millions of pounds per year
P = price of your coffee, in rand per pound
W = wage of coffee workers in Brazil, in rand per hour
PEU= price of coffee in the European Union, in rand per pound
PE= expected price of Brazilian coffee next year, in rand per pound
The values for the variables above are W = R0.75, PEU= R3.60, and PE= R4.30.
a)Find the equilibrium price and quantity. (6)
b)If the current price is R4.25 a pound, what disequilibrium situation would exist?(3)
c)How large is the disequilibrium (3), and what would happen in this market to eliminate the disequilibrium? (3)
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